Answer:
9 7/40
Step-by-step explanation:
3 4/5 + 5 3/8
First we need to get a common denominator of 40
3 4/5 * 8/8 = 3 32/40
5 3/8 *5/5 = 5 15/40
Add the fractions together
3 32/40+ 5 15/40
8 47/40
Rewriting
8 + 40/40 + 7/40
8 + 1+ 7/40
9 7/40
The answer would be b) the 2 represents the two width pairs
40/16 = 24/x
16*24 = 384
x = 384 / 40
x =9.6
it cast a shadow 9.6 feet long
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>
ONE SOLUTION:
<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>
INFINITELY MANY SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + 2</em>
Examples:
2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>
3 = 5 FALSE <em>(NO SOLUTIONS)</em>
2x + 3 = x - 4 <em>subtract x from both sides</em>
x + 3 = -4 <em>subtract 3 from both sides</em>
x = -7 (<em>ONE SOLUTION)</em>
2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>
3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>
Why is the sky orange and red at sunrise and sunset?
Gases absorb orange and red light.
Blue wavelengths are absorbed by the atmosphere.
The thick atmosphere scatters all but longer wavelengths.
Only short wavelengths are radiated from the Sun in the morning and evening.
